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Finding the Third Proportional to 33,079 and 49,625

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Solution

The third proportional to 33,079 and 49,625 is: 74,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,079 : 49,625 = 49,625 : x
  2. Step 2: Convert to fraction form
    33,079/49,625 = 49,625/x
  3. Step 3: Cross multiply
    33,079x = 49,625 × 49,625
  4. Step 4: Simplify right side
    33,079x = 2,462,640,625
  5. Step 5: Solve for x
    x = 2,462,640,625/33,079
  6. Step 6: Final answer
    x = 74,447.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.